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Question

Pressure inside two soap bubbles is 1.01 and 1.02 atmosphere. The ratio between their volume is:


A
102 : 101
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B
(102)3:(101)3
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C
8 : 1
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D
2 : 1
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Solution

The correct option is C 8 : 1
Pressure $$ \times $$ Radius = Surface Tension
Here the pressure is Gauge Pressure, i.e the difference between absolute pressure and atmospheric pressure
Hence ratio of gauge pressures is $$1:2$$
Accordingly ratio of radii is $$2:1$$ 
Since $$Volume  \propto  radius^3 $$ 
Hence ratio of volumes is $$8:1$$

Physics

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